Solve (cos36*3)^3/c=5

$$\frac { ( \cos 36 \times 3 ) ^ { 3 } } { c } = 5$$

Solve for c

$$c=-0.0059016994374947375915967086861886500644606439677808$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\frac{-0.30901699437494734 ^ {3}}{c} = 5$$

Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by c.

$$-0.30901699437494734^{3}=5c$$

Calculate 0.30901699437494734 to the power of 3 and get 0.029508497187473687957983543430943250322303219838904.

$$-0.029508497187473687957983543430943250322303219838904=5c$$

Swap sides so that all variable terms are on the left hand side.

$$5c=-0.029508497187473687957983543430943250322303219838904$$

Divide both sides by 5.

$$c=\frac{-0.029508497187473687957983543430943250322303219838904}{5}$$

Expand \frac{-0.029508497187473687957983543430943250322303219838904}{5} by multiplying both numerator and the denominator by 1000000000000000000000000000000000000000000000000000.

$$c=\frac{-29508497187473687957983543430943250322303219838904}{5000000000000000000000000000000000000000000000000000}$$

Reduce the fraction \frac{-29508497187473687957983543430943250322303219838904}{5000000000000000000000000000000000000000000000000000} to lowest terms by extracting and canceling out 8.

$$c=-\frac{3688562148434210994747942928867906290287902479863}{625000000000000000000000000000000000000000000000000}$$